Aband selects 404040 ticket-holders at random from each concert to win t-shirts. the band knows that 55\%55%55, percent of the ticket-holders buy their tickets at least a month before the concert. suppose the band calculated the proportion \hat p
p
^
of winners from each concert who bought their tickets at least a month before the concert.
which of the following distributions is the best approximation of the sampling distribution of \hat p
p
^
?
each distribution uses the same scale.
choose 1
choose 1

(choice a, checked)
a

(choice b)
b

(choice c)
c

(choice d)
d

They would be normally distributed.

Step-by-step explanation:

Because there are more than 30 samples, the distribution would closely resemble the normal distribution.

40 ticketholders are winning the contest. 40 ≥ 30. This is enough to make the distribution approximately normal.

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional